Statistics Measures and Distributions

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Questions and Answers

What is the relationship between the interquartile range and the semi-interquartile range?

  • The semi-interquartile range is twice the interquartile range.
  • There is no relationship between the interquartile range and the semi-interquartile range.
  • The semi-interquartile range is equal to the interquartile range divided by 2. (correct)
  • The semi-interquartile range is the square root of the interquartile range.

What does the relative distance of Q1 and Q3 from the median (Q2) indicate about the distribution of scores?

  • It indicates the skewness of the distribution.
  • It indicates the shape of the distribution. (correct)
  • It indicates the standard deviation of the distribution.
  • It indicates the variance of the distribution.

In a perfectly symmetrical distribution, what is the relationship between Q1 and Q3 relative to the median?

  • Q1 and Q3 will be equidistant from the median, but in opposite directions.
  • Q1 and Q3 will be exactly the same distance from the median. (correct)
  • There is no relationship between the distances of Q1 and Q3 from the median in a perfectly symmetrical distribution.
  • Q1 will be twice the distance from the median as Q3.

What does the lowercase italic 'x' represent in the formula for average deviation?

<p>The score's deviation from the mean. (B)</p> Signup and view all the answers

How is standard deviation calculated?

<p>It is the square root of the variance. (A)</p> Signup and view all the answers

What does negatively skewed examination results indicate about the test?

<p>The test was too easy. (C)</p> Signup and view all the answers

What is the definition of the interquartile range?

<p>The difference between the 75th and 25th percentiles (D)</p> Signup and view all the answers

Which measure of central tendency is defined as the middle score in a distribution?

<p>Median (A)</p> Signup and view all the answers

Which of the following is a measure of variability that indicates how scores are scattered or dispersed?

<p>Interquartile range (B)</p> Signup and view all the answers

What type of measurement is used in tests of hand grip strength?

<p>Ratio (D)</p> Signup and view all the answers

Which measure of central tendency is the most frequently occurring score in a distribution?

<p>Mode (D)</p> Signup and view all the answers

What is the definition of an interval scale?

<p>A scale with equal intervals between numbers (D)</p> Signup and view all the answers

Which term refers to the steepness of a distribution in its center?

<p>Kurtosis (C)</p> Signup and view all the answers

What does a positively skewed distribution indicate about the test?

<p>The test was too difficult. (B)</p> Signup and view all the answers

Which type of curve describes the peakedness/flatness of a distribution?

<p>Platykurtic (A)</p> Signup and view all the answers

What is a raw score that has been converted from one scale to another, using an arbitrarily set mean and standard deviation?

<p>Standard score (A)</p> Signup and view all the answers

Which statistical measure indicates the dispersion or spread of scores in a distribution?

<p>Standard deviation (B)</p> Signup and view all the answers

In what scenario would adding more items that are easier be desirable?

<p>To better discriminate at the lower end of the test score distribution. (D)</p> Signup and view all the answers

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